When two small bubbles approach each other, a dimpled thin liquid film is formed between them. A model is developed for the dynamics of the thinning film with mobile interfaces, in which the effects of interfacial mob...When two small bubbles approach each other, a dimpled thin liquid film is formed between them. A model is developed for the dynamics of the thinning film with mobile interfaces, in which the effects of interfacial mobility and physical properties on the drainage and rupture of a dimpled liquid film are investigated. The model predicts the coalescence time, which is the time required for the thinning and the rupture of the liquid film, given only the radii of the bubbles and the required physical properties of the liquid and the surface, such as surface tension, London-van der waals constant, and surface diffusion coefficient. The predicted result is in agreement with the experimental results in the literature.展开更多
The effects of mass transfer and physical properties upon the thinning and rupture of adraining plane parallel film are investigated.An equation is derived in which the thinning rate is afunction of bulk properties.su...The effects of mass transfer and physical properties upon the thinning and rupture of adraining plane parallel film are investigated.An equation is derived in which the thinning rate is afunction of bulk properties.surface properties(surface tension,surface viscosities,and the variationof surface tension with surface concentration),intermolecular forces(London-van der Waals forcesand electrostatic double layer forces),adsorption and surface diffusion coefficients,bubble size andfilm thickness.An estimation for the critical thickness at which a film rupture is carried out and thecoalescence time is obtained by integration to the critical thickness,The coalescence time is predictedas a function of bulk and surface properties,London-van der forces,adsorption and surfacediffusion coefficients,and bubble size.展开更多
基金Supported by the National Natural Science Foundation of China.
文摘When two small bubbles approach each other, a dimpled thin liquid film is formed between them. A model is developed for the dynamics of the thinning film with mobile interfaces, in which the effects of interfacial mobility and physical properties on the drainage and rupture of a dimpled liquid film are investigated. The model predicts the coalescence time, which is the time required for the thinning and the rupture of the liquid film, given only the radii of the bubbles and the required physical properties of the liquid and the surface, such as surface tension, London-van der waals constant, and surface diffusion coefficient. The predicted result is in agreement with the experimental results in the literature.
基金Partially supported by National Natural Science Foundation of China
文摘The effects of mass transfer and physical properties upon the thinning and rupture of adraining plane parallel film are investigated.An equation is derived in which the thinning rate is afunction of bulk properties.surface properties(surface tension,surface viscosities,and the variationof surface tension with surface concentration),intermolecular forces(London-van der Waals forcesand electrostatic double layer forces),adsorption and surface diffusion coefficients,bubble size andfilm thickness.An estimation for the critical thickness at which a film rupture is carried out and thecoalescence time is obtained by integration to the critical thickness,The coalescence time is predictedas a function of bulk and surface properties,London-van der forces,adsorption and surfacediffusion coefficients,and bubble size.
